The libertarian-leaning congressman's comments may be aimed at Rep. Mike Rogers (R-Mich.), the favorite of establishment Republicans in Washington and Michigan, and could be a sign Amash is considering a bid to succeed retiring Sen. Carl Levin (D-Mich.).

"There will be huge long-term harm to the Michigan Republican Party if we put up an anti-civil liberties, pro-corporate welfare Senate candidate," Amash wrote on his Facebook page in a Tuesday evening post. "I won't let that happen without a fight."

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"This is 2013, not 2003 or 1993. Such a candidate not only doesn't appeal to conservative Republicans, who care deeply about liberty and the Constitution, but also would continue to tarnish our party's image with moderate, independent, young and ethnically diverse voters," he wrote.

GOP strategists worry Amash could create problems in the primary for another candidate who might have more statewide appeal in the general election. They also fear he could scare off a strong candidate like Rogers.

"We must begin to win statewide general elections for Senate and president," Amash continued. "We need to stop catering to the political class elites and start caring about the rights and freedoms of regular people. More of the same means our party becomes irrelevant."

Rogers said on Monday that he was still mulling a Senate run but that it would be hard to balance that with his position chairing the House Intelligence Committee, comments that make it sound less than likely that he'll run. He also said he had no timeline for a decision.

Rogers is likely the GOP's best hope to force a competitive race against Rep. Gary Peters (D-Mich.), who Michigan Democrats have rallied around. Former Secretary of State Terri Lynn Land (R) is also considering a bid.